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7 papers · 2 filters
Dual Polynomials of the Multi-Indexed (-)Racah Orthogonal Polynomials
Satoru Odake
We consider dual polynomials of the multi-indexed (-)Racah orthogonal polynomials. The -indexed (-)Racah polynomials satisfy the second order difference equations and vari…
Localization for a one-dimensional split-step quantum walk with bound states robust against perturbations
Toru Fuda, Daiju Funakawa, Akito Suzuki
For given two unitary and self-adjoint operators on a Hilbert space, a spectral mapping theorem was proved in \cite{HiSeSu}. In this paper, as an application of the spectral mappin…
Weak limit theorem for a one-dimensional split-step quantum walk
Toru Fuda, Daiju Funakawa, Akito Suzuki
This paper proves a weak limit theorem for a one-dimensional split-step quantum walk and investigates the limit density function. In the density function, the difference between tw…
Recurrence Relations of the Multi-Indexed Orthogonal Polynomials V : Racah and -Racah types
Satoru Odake
In previous papers, we discussed the recurrence relations of the multi-indexed orthogonal polynomials of the Laguerre, Jacobi, Wilson and Askey-Wilson types. In this paper we explo…
On the K-theoretic classification of dynamically stable systems
Giuseppe De Nittis, Kiyonori Gomi
This paper deals with the construction of a suitable topological -theory capable of classifying topological phases of dynamically stable systems described by gapped -self-adj…
Crystallographic bulk-edge correspondence: glide reflections and twisted mod 2 indices
Kiyonori Gomi, Guo Chuan Thiang
A 2-torsion topological phase exists for Hamiltonians symmetric under the wallpaper group with glide reflection symmetry, corresponding to the unorientable cycle of the Klein bottl…
Quantum walks with an anisotropic coin II: scattering theory
S. Richard, A. Suzuki, R. Tiedra de Aldecoa
We perform the scattering analysis of the evolution operator of quantum walks with an anisotropic coin, and we prove a weak limit theorem for their asymptotic velocity. The quantum…